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Finding the Fourth Proportional to 326.91, 448.73 and 289.24

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Solution

The fourth proportional to 326.91, 448.73 and 289.24 is: 397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.91 : 448.73 = 289.24 : x
  2. Step 2: Convert to fraction form
    326.91/448.73 = 289.24/x
  3. Step 3: Cross multiply
    326.91x = 448.73 × 289.24
  4. Step 4: Simplify right side
    326.91x = 129,790.67
  5. Step 5: Solve for x
    x = 129,790.67/326.91
  6. Step 6: Final answer
    x = 397.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.